Least Common Multiple of 2168 and 2172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2168 and 2172 the smallest integer that is 1177224 that is divisible by both numbers.

Least Common Multiple (LCM) of 2168 and 2172 is 1177224.

LCM(2168,2172) = 1177224

LCM of 2168 and 2172

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2168 and 2172

LCM of 2168 and 2172 is 1177224

Least common multiple can be found by multiplying the highest exponent prime factors of 2168 and 2172. First we will calculate the prime factors of 2168 and 2172.

Prime Factorization of 2168


2 2168
2 1084
2 542
271 271
1

Prime factors of 2168 are 2,271. Prime factorization of 2168 in exponential form is:

2168 = 23×2711

Prime Factorization of 2172


2 2172
2 1086
3 543
181 181
1

Prime factors of 2172 are 2, 3,181. Prime factorization of 2172 in exponential form is:

2172 = 22×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2168 and 2172.

LCM(2168,2172) = 23×31×1811×2711
LCM(2168,2172) = 1177224

Factors of 2168

List of positive integer factors of 2168 that divides 2168 without a remainder.

1, 2, 4, 8, 271, 542, 1084, 2168

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

Least Common Multiple of 2168 and 2172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2168 and 2172, than apply into the LCM equation.

GCF(2168,2172) = 4
LCM(2168,2172) = ( 2168 × 2172) / 4
LCM(2168,2172) = 4708896 / 4
LCM(2168,2172) = 1177224

Properties of LCM 2168 and 2172

(i) The LCM of 2172 and 2168 is associative

LCM of 2168 and 2172 = LCM of 2172 and 2168

Related Least Common Multiples of 2168

Related Least Common Multiples of 2172

Frequently Asked Questions on LCM of 2168 and 2172

1. What is the LCM of 2168 and 2172?

Answer: LCM of 2168 and 2172 is 1177224.

2. What are the Factors of 2168?

Answer: Factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168. There are 8 integers that are factors of 2168. The greatest factor of 2168 is 2168.

3. What are the Factors of 2172?

Answer: Factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172. There are 12 integers that are factors of 2172. The greatest factor of 2172 is 2172.

4. How to Find the LCM of 2168 and 2172?

Answer:

Least Common Multiple of 2168 and 2172 = 1177224

Step 1: Find the prime factorization of 2168

2168 = 2 x 2 x 2 x 271

Step 2: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1177224 = 2 x 2 x 2 x 3 x 181 x 271

Step 4: Therefore, the least common multiple of 2168 and 2172 is 1177224.